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Finding the Fourth Proportional to 2,272.46, 3,409.72 and 1,101.82

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Solution

The fourth proportional to 2,272.46, 3,409.72 and 1,101.82 is: 1,653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.46 : 3,409.72 = 1,101.82 : x
  2. Step 2: Convert to fraction form
    2,272.46/3,409.72 = 1,101.82/x
  3. Step 3: Cross multiply
    2,272.46x = 3,409.72 × 1,101.82
  4. Step 4: Simplify right side
    2,272.46x = 3,756,897.69
  5. Step 5: Solve for x
    x = 3,756,897.69/2,272.46
  6. Step 6: Final answer
    x = 1,653.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.